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Finding the Fourth Proportional to 316.00, 473.66 and 159.94

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Solution

The fourth proportional to 316.00, 473.66 and 159.94 is: 239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.00 : 473.66 = 159.94 : x
  2. Step 2: Convert to fraction form
    316.00/473.66 = 159.94/x
  3. Step 3: Cross multiply
    316.00x = 473.66 × 159.94
  4. Step 4: Simplify right side
    316.00x = 75,754.01
  5. Step 5: Solve for x
    x = 75,754.01/316.00
  6. Step 6: Final answer
    x = 239.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.